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Finding the Fourth Proportional to 874.03, 1,311.07 and 353.96

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Solution

The fourth proportional to 874.03, 1,311.07 and 353.96 is: 530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.03 : 1,311.07 = 353.96 : x
  2. Step 2: Convert to fraction form
    874.03/1,311.07 = 353.96/x
  3. Step 3: Cross multiply
    874.03x = 1,311.07 × 353.96
  4. Step 4: Simplify right side
    874.03x = 464,066.34
  5. Step 5: Solve for x
    x = 464,066.34/874.03
  6. Step 6: Final answer
    x = 530.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.